GCF of 1276/690, 9106/690
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1276/690, 9106/690 i.e 58/690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1276/690, 9106/690.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 1276/690,9106/690?
Given fractions are 1276/690,9106/690
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 1276/690,9106/690, numerators are 1276,9106
Denominators are 690,690
The GCF of 1276,9106 is 58 .
LCM of 690,690 is 690.
The greatest common factor of 1276/690,9106/690 = [GCF of 1276,9106]/[LCM of 690,690]= 58/690
Therefore, the GCF of 1276/690,9106/690 is 58/690.
To find the highest common factor of 1276,9106, we have to find the factors of both numbers and list the highest common factor.
The factors of 1276 are 1, 2, 4, 11, 22, 29, 44, 58, 116, 319, 638, 1276
The factors of 9106 are 1, 2, 29, 58, 157, 314, 4553, 9106
The HCF of 1276,9106 is 58.
Lets's calculate GCF of 1276,9106
| 2 | 1276, 9106 |
| 29 | 638, 4553 |
| 22, 157 |
∴ So the GCF of the given numbers is 2 x 29 = 58
Greatest Common Factor of 1276,9106 By Matching Biggest Common Factor Method
Now, list down the factors of 1276
:1,2,4,11,22,29,44,58,116,319,638,1276
Now, list down the factors of 9106
:1,2,29,58,157,314,4553,9106
Greatest Common Factor
We found the factors 1276,9106 . The biggest common factor number is the GCF number.
So the greatest common factor 1276,9106 is 58.
Lets's calculate LCM of 690,690
| 2 | 690, 690 |
| 3 | 345, 345 |
| 5 | 115, 115 |
| 23 | 23, 23 |
| 1, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 23 x 1 x 1 = 690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 58/690
Therefore, the GCF of Fractions 1276/690,9106/690 is 58/690
Least Common Multiple of 690,690 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 690,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(690,690) = 690
common factors(in case of two or more numbers have common factors) = 1
GCF(690,690) x common factors =690 x 1 = 690
LCM(690,690) = ( 690 × 690 ) / 690
LCM(690,690) = 476100 / 690
LCM(690,690) = 690
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FAQs on GCF of Fractions of 1276/690, 9106/690
1. What is the HCF of 1276,9106?
The HCF of 1276,9106 is 58
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 1276/690, 9106/690?
Answer: GCF of Numerators as per given numbers 1276/690, 9106/690 is
GCF of Numerators i.e. for 1276,9106 is 58
LCM of denominators i.e. for 690,690 is 690.
Thus, GCF of Fractions is 58/690.Finally, GCF of Fractions for 1276/690, 9106/690 is 58/690.